532 symmetry on a sphere

Many thanks to Chaim Goodman-Strauss for kind permission to use the image: click through to mathbun.com one of his blogs. 532 symmetry on a sphere. Look at the blue dots for a hint about orbifold conventional names, or best of all, see our previous post https://madematics.wordpress.com/2011/09/11/the-symmetries-of-things/ 

 

Image

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Boy’s surface

This week we build some self-intersecting Boy surfaces: pick your favourite(s).

http://teach.hilderbuild.com/tiki-index.php?page=Paper%20Boy%27s

http://www.southernct.edu/~fields/topology/Boys_surface.html

Polyhedral versions:

http://plus.maths.org/content/os/issue27/features/mathart/index

http://www.savoir-sans-frontieres.com/JPP/telechargeables/English/Topo_the_world_eng.pdf page 48 (the Topologicon is available in many languages besides English)

 

 

http://www.southernct.edu/~fields/topology/Boys_surface.html